2112112011 has 32 divisors (see below), whose sum is σ = 3118970880. Its totient is φ = 1264564224.

The previous prime is 2112111979. The next prime is 2112112049. The reversal of 2112112011 is 1102112112.

It is not a de Polignac number, because 2112112011 - 2⁵ = 2112111979 is a prime.

It is a super-2 number, since 2×2112112011² = 8922034294020928242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112112811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541155 + ... + 545043.

It is an arithmetic number, because the mean of its divisors is an integer number (97467840).

Almost surely, 2^2112112011 is an apocalyptic number.

2112112011 is a deficient number, since it is larger than the sum of its proper divisors (1006858869).

2112112011 is a wasteful number, since it uses less digits than its factorization.

2112112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2112112011 is about 45957.7198194166. The cubic root of 2112112011 is about 1283.0364133605.

Adding to 2112112011 its reverse (1102112112), we get a palindrome (3214224123).

The spelling of 2112112011 in words is "two billion, one hundred twelve million, one hundred twelve thousand, eleven".